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Finding the Fourth Proportional to 523,624.11, 785,453.22 and 144,573.27

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Solution

The fourth proportional to 523,624.11, 785,453.22 and 144,573.27 is: 216,864.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,624.11 : 785,453.22 = 144,573.27 : x
  2. Step 2: Convert to fraction form
    523,624.11/785,453.22 = 144,573.27/x
  3. Step 3: Cross multiply
    523,624.11x = 785,453.22 × 144,573.27
  4. Step 4: Simplify right side
    523,624.11x = 113,555,540,447.43
  5. Step 5: Solve for x
    x = 113,555,540,447.43/523,624.11
  6. Step 6: Final answer
    x = 216,864.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.